O princípio das gavetas de Dirichlet: tratamento e problemas para o ensino médio

Abstract

The Dirichlet Principle is well known as the Pigeonhole Principle or Drawer Principle and can be presented as an important tool in the teaching and learning process of high school students and from this Principle seek to arouse in students an interest in studies and thus projecting them to an academic future and contributing socially with their research. The Drawer Principle is simple and intuitive, which makes it possible for this principle to have a didactic functionality in the classroom in solving mathematical problems. We can mention that the Dirichlet Principle, despite having an easy understanding, it is possible, from it, to solve problems of high complexity. In other words, The Pigeonhole Principle is a tool that makes it possible to solve mathematical problems of various levels of difficulty, however what we will see in this work is the use of Dirichlet's Principle of Drawers used as a didactic object in high school.